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Finding the Third Proportional to 77,883 and 170,508

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Solution

The third proportional to 77,883 and 170,508 is: 373,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,883 : 170,508 = 170,508 : x
  2. Step 2: Convert to fraction form
    77,883/170,508 = 170,508/x
  3. Step 3: Cross multiply
    77,883x = 170,508 × 170,508
  4. Step 4: Simplify right side
    77,883x = 29,072,978,064
  5. Step 5: Solve for x
    x = 29,072,978,064/77,883
  6. Step 6: Final answer
    x = 373,290.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.